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Finding Approximate Analytic Solutions To Differential Equations Using Genetic Programming

机译：利用遗传规划求微分方程的近似解析解

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摘要

The computational optimization technique, genetic programming, is applied to the analytic solution of general differential equations. The approach generates a mathematical expression that is an approximate or exact solution to the particular equation under consideration. Angeline's module acquisition (MA) and Koza's automatically defined functions (ADF) are considered and the results of some modifications are presented, including a significant result regarding a generalized crossover operator.

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作者
Burgess, G.;
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年度 1999
页码 1-73
总页数 73
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Algorithms; Differential equations; Artificial intelligence; Approximation(Mathematics); Australia; Machine coding; Fields(Computer programs); Symbolic programming;

机译：算法;微分方程;人工智能;近似（数学）;澳大利亚;机器编码;字段（计算机程序）;符号编程;

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专利

1. A hybrid genetic programming approach for the analytical solution of differential equations [J] . STEVEN J. KIRSTUKAS, KENNETH M. BRYDEN, DANIEL A. ASHLOCK International journal of general systems . 2005,第3期

机译：混合遗传规划方法求解微分方程
2. Finding the approximate analytical solutions of 2n (n ?R) order differential equation with boundary value problem using various techniques [J] . Mahajan Shailly, Kumar Subash Journal of Mathematical and Computational Science . 2019,第2期

机译：使用各种技术寻找具有边值问题的2n（n？R）阶微分方程的近似解析解
3. An Analytical and Approximate Solution for Nonlinear Volterra Partial Integro-Differential Equations with a Weakly Singular Kernel Using the Fractional Differential Transform Method [J] . Rezvan Ghoochani-Shirvan, Jafar Saberi-Nadjafi, Morteza Gachpazan International Journal of Differential Equations . 2018,第1期

机译：分数阶微分方程的非线性奇异核Volterra偏微分方程的解析和近似解
4. Finding approximate analytical solutions of differential equations using Neural Networks with self-adaptive training sets [C] . Felix Hamza-Lup, Ionut E. Iacob, James Orgeron International Conference on Electronics, Computers and Artificial Intelligence . 2021

机译：用自适应训练集查找微分方程的近似分析解
5. Runge-Kutta and recursive distribution numerical methods for approximate solution of stochastic differential equations [D] . Abukhaled, Marwan Ibrahim 1995

机译：随机微分方程近似解的Runge-Kutta和递归分布数值方法
6. A new multistage technique for approximate analytical solution of nonlinear differential equations [O] . Saheed Ojo Akindeinde 2020

机译：非线性微分方程近似分析解的一种新型多级技术
7. Analytic Solutions to Differential Equations under Graph-based Genetic Programming [O] . Tom Seaton, Gavin Brown, Julian F. Miller 2008

机译：基于图的遗传规划的微分方程解析解

Finding Approximate Analytic Solutions To Differential Equations Using Genetic Programming

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